<span>RT, i.e. is S the midpoint of RT? If it does, then RS = ST; RT = RS + ST; RT = 2 * RS; RT = 5 1/4</span>
Abbi can substitute y=3 and x=3 into the equation y=1/3x+2 and show that a true statement results thus option (A) will be correct.
<h3>What are the roots of an equation?</h3>
The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
As per the given equation,
y = 1/3 x + 2
If (3,3) lies on the equation then it must satisfy.
3 = (1/3)3 + 2
3 = 1 + 2 = 3
Thus, Abbi can substitute into the equation to prove.
Hence "Abbi can substitute y=3 and x=3 into the equation y=1/3x+2 and show that a true statement".
To learn more about the roots of equations,
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Answer:
Yes
Step-by-step explanation:
The z-score corresponding to a number or score can be calculated using:
Where x stands for the individual scores, and
stands for the mean.
Since
for all numbers or scores below the mean, the difference will always be negative these values below the mean.
This will always result in a negative z-score for all numbers below the mean.
Answer:
- Cameron is 13 and Avery is 8 years old
Step-by-step explanation:
Let Cameron's age be x and Avery's age be y.
<u>The difference is 5 and the product is 104:</u>
<u>Solve by substitution:</u>
- xy = 104
- y(y + 5) = 104
- y² + 5y - 104 = 0
- y = (- 5 ± √(5² + 4*104))/2 = (- 5 ± √441)/2 = ( - 5 ± 21)/2
<u>Taking the positive root as age can't be negative:</u>
<u>Find x:</u>
Answer:
Time = 500 seconds or 8.333 minutes
Step-by-step explanation:
Time = Distance/Speed
Speed of light = 3 x 10^8 meters/second
Distance=1.5 X 10^11 meters
Time = 1.5 X 10^11 meters/3 x 10^8 meters/second
We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)
Dividing 1.5 by 3 gives 0.5 .
Time = 1.5 X 10^(11- 8) meters/3 meters/second
Time = 0.5 X 10^3 seconds
Time = 500 seconds
Dividng seconds with 60 will give minutes
Time= 500/60 = 8.333 minutes